$p$-wave holographic superconductors with massive vector condensate in Born-Infeld electrodynamics

In this paper, we have studied the effect of Born-Infeld electrodynamics in holographic $p$-wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the St"urm-Liouville eigenvalue approach. For this $p$-wave holographic superconductor model, we have calculated the critical temperature $T_c$ as well as the value of the condensation operator for two different choices of $m^2$. We have also pointed out the similarities and dissimilarities between this model for $m^2=0$ and $p$-wave holographic superconductor model constructed out of Einstein-Yang-Mills theory. We have then computed the conductivity of these holographic superconductor models using a self-consistent approach and have shown that the DC conductivity diverges.